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Proceedings Paper

Shaping nondiffracting beams with a differential operator approach
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Paper Abstract

The commutation between the Helmholtz equation and the derivative operator allows us to generate novel nondiffracting beams. We apply a general differential operator to Bessel beams and study the resulting phase structure and orbital angular momentum (OAM). We find the parameters that preserve the OAM of the seed beam and show how to produce and control shape preserving vortex arrays. In analogy to the Poincaré sphere, our approach is used to develop an operator sphere connecting higher-order Bessel beams.

Paper Details

Date Published: 27 September 2016
PDF: 9 pages
Proc. SPIE 9950, Laser Beam Shaping XVII, 99500S (27 September 2016); doi: 10.1117/12.2236757
Show Author Affiliations
Dorilian Lopez-Mago, Tecnológico de Monterrey (Mexico)
Julio C. Gutiérrez-Vega, Tecnológico de Monterrey (Mexico)

Published in SPIE Proceedings Vol. 9950:
Laser Beam Shaping XVII
Andrew Forbes; Todd E. Lizotte, Editor(s)

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